**Unformatted text preview: **orresponding P arts of C ongruent T riangles are C ongruent. CPCTC is the final step in many proofs used to show that “ extra ” parts of the triangles are congruent. You will first need to prove that the triangles are congruent, and then using CPCTC you can state that the extra parts are also congruent. R D F G S Y Z W A X O R N G K F T P Vertical angles are congruent. 1. Given: Prove: 2. Given: is the midpoint of ̅̅̅̅ and ̅̅̅̅ (Look at next page for solution) Prove: 1. 1. Given 2. 2. 3. 3. A D E F B C 1. 1. Given 2. 2. SSS 3. 3. CPCTC A D E F B C Mark the given information in the diagram. After the triangles are congruent, you can state that the extra parts are congruent. C A S T R 1 2 1. is the midpoint of ̅̅̅̅ and ̅̅̅̅ 1. Given 2. 2. Definition of midpoint 3. 3. 4. 4. 5. 5. 2. Given: is the midpoint of ̅̅̅̅ and ̅̅̅̅ Prove: Mark the congruent segments from the midpoint. C A S T R 1 2 1. is the midpoint of ̅̅̅̅ and ̅̅̅̅ 1. Given 2. 2. Definition of midpoint 3. 3. Vertical angles are congruent 4. 4. SAS 5. 5. CPCTC...

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- Fall '19